Abstract
The article describes one of the methods
for computing determinants without using fractions
proposed by Bareiss. This problem has a clear algorithmic
character in nature and refers to the field of computer
algebra. The implementation of this algorithm is proposed
in the known Maxima system of symbolic computations.
In addition, this method makes it possible to get enough
convenient formula for the calculation of the matrix of
unitriangular transformation of a quadratic form to a
canonical one.
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